A+ Answers

profileThehonest
1.doc

1. Consider a graph of

image1.wmf

(

)

1

12

3

+

-

=

x

x

x

f

shown below.

image2.png

a) Find the slope and equation of the line joining A and B.

b) Find the slope and equation of the line joining A and C.

c) Find the y-coordinate of the point P with x-coordinate equal to 0.5 (x=0.5.)

d) Find the slope and equation of the line joining A and P.

2. Consider the function defined by

image3.wmf

(

)

ï

î

ï

í

ì

>

-

£

£

-

-

-

£

-

=

1

1

1

1

4

1

1

2

2

x

if

x

x

if

x

x

if

x

x

f

Find

image4.wmf

(

)

2

-

f

image5.wmf

(

)

1

-

f

image6.wmf

(

)

0

f

image7.wmf

(

)

h

f

-

1

image8.wmf

1

0

<

<

h

image9.wmf

(

)

k

f

+

1

image10.wmf

0

>

k

3. Recall the greatest integer function

image11.wmf

ë

û

x

, which states that

image12.wmf

ë

û

î

í

ì

<

=

integer

an

not

is

interger

largest

integer

an

is

x

if

x

x

if

x

x

Find

image13.wmf

ë

û

p

image14.wmf

ë

û

p

cos

4. An observer is standing 200 meters from the point G, at which, a balloon is vertically released. Find the height of the balloon at the time the angle of elevation is

image15.wmf

o

15

image16.png

5. Recall that a graph of

image17.wmf

x

y

sin

=

is

image18.png

image19.png

Find all the values of

image20.wmf

x

in the interval
image21.wmf

[

]

p

4

0

,

which satisfy the equation

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